An analysis of coordinate transformation in Schmidt telescope photographic plates

Astronomy and Astrophysics – Astronomy

Scientific paper

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Astrometry, Astronomical Coordinates, Astronomical Photography, Coordinate Transformations, Schmidt Telescopes, Star Distribution, Cartesian Coordinates, Error Analysis, Photographic Measurement, Polynomials, Position Errors, Projective Geometry, Reference Stars

Scientific paper

Concentric projection theory and an adjustment by means of third-degree polynomials are used to analyze the transformations relating celestial equatorial coordinates to rectangular coordinates, measured on a plate obtained by means of a Schmidt telescope lacking an objective prism. The results obtained show the presence of distortions probably due to photographic emulsion random defects. Systematic defects in the reference catalog, and/or anomalous atmospheric refraction and filter effects. It is found that the mean radiation detected in the actual position of any stellar image reaches a value of 0.64 arcsec within a circular plate zone of approximately one deg radius.

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